Question

The function h(x) = x2 + 3 and g(x) = x2 – 6. If g(x) = h(x) + k, what is the value of k?

Answer 1

-9

Explanation:

g(x) = x^2 - 6

h(x) = x^2 + 3

Just plug this information in g(x) = h(x) + k

x^2 - 6 = x^2 + 3 + k and solve for k -

x^2 - 6 - x^2 - 3 = k

-9 = k

k = -9